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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Curves in D^3_1
 Navrátil, Dušan ; Doupovec, Miroslav (referee) ; Kureš, Miroslav (advisor)
The Bachelor thesis deals with research on curves in three-dimensional space with Lorentzian inner product. The emphasis is on detailed analysis of dual numbers and dual Lorentzian space properties. Main part of this work is focused on dual functions, their differentiability, both arc length reparametrization and Frenet equations of dual curves and examples of such a curves. Within this work, many statements were derived generalizing from Minkowski space. Properties of dual rectifying curves were described in last section and finally we showed relation between these curves, dual unit spherical curves and ruled surfaces in Minkowski space.
Detailed record
Curves in D^3_1
 Navrátil, Dušan ; Doupovec, Miroslav (referee) ; Kureš, Miroslav (advisor)
The Bachelor thesis deals with research on curves in three-dimensional space with Lorentzian inner product. The emphasis is on detailed analysis of dual numbers and dual Lorentzian space properties. Main part of this work is focused on dual functions, their differentiability, both arc length reparametrization and Frenet equations of dual curves and examples of such a curves. Within this work, many statements were derived generalizing from Minkowski space. Properties of dual rectifying curves were described in last section and finally we showed relation between these curves, dual unit spherical curves and ruled surfaces in Minkowski space.
Detailed record

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